English

Application of Hales-Jewett theorem near 0

Combinatorics 2020-05-11 v2

Abstract

The famous van der Waerden theorem states that if partition N into finitely many cells then one of them will contain arbitrary length arithmetic progressions. It has a polynomial version also. In this article we will prove the near 0 version of the polynomial van der Waerden theorem which was unsolved, using combinatorics.

Keywords

Cite

@article{arxiv.1902.09233,
  title  = {Application of Hales-Jewett theorem near 0},
  author = {Pintu Debnath and Sayan Goswami},
  journal= {arXiv preprint arXiv:1902.09233},
  year   = {2020}
}

Comments

Semigroup Forum, to appear